Large-N theory of strongly commensurate dirty bosons: absence of a transition in two dimensions

摘要: The spherical limit of strongly commensurate dirty bosons is studied perturbatively at weak disorder and numerically strong in two dimensions (2D). We argue that not perfectly screened by interactions consequently the ground state effective Anderson localization problem always remains localized. As a result there only gapped Mott insulator phase theory. Comparisons with other studies parallel disordered fermions 2D are discussed. conjecture while for physical cases N = 2 (XY) 1 (Ising) theory should have ordered phase, it may 3 (Heisenberg).